000			05007cam a2200541Mi 4500
001			9781003093954
003			FlBoTFG
005			20220711212106.0
006			m o d
007			cr |||||||||||
008			201117s2021 flua fo 000 0 eng d
040			_aOCoLC-P _beng _erda _epn _cOCoLC-P
020			_a9781000334135 _q(e-book)
020			_a1000334139
020			_a9781003093954 _q(electronic bk.)
020			_a1003093957 _q(electronic bk.)
020			_a9781000334357 _q(electronic bk. : EPUB)
020			_a100033435X _q(electronic bk. : EPUB)
020			_a9781000334241 _q(electronic bk. : Mobipocket)
020			_a1000334244 _q(electronic bk. : Mobipocket)
035			_a(OCoLC)1240715208
035			_a(OCoLC-P)1240715208
050		4	_aQH323.5
072		7	_aMAT _x003000 _2bisacsh
072		7	_aMED _x009000 _2bisacsh
072		7	_aSCI _x008000 _2bisacsh
072		7	_aPBW _2bicssc
082	0	4	_a570.113 _223
100	1		_aUpadhyay, Ranjit Kumar, _eauthor. _913057
245	1	0	_aSpatial dynamics and pattern formation in biological populations _cRanjit Kumar Upadhyay, Satteluri R.K. Iyengar.
264		1	_aBoca Raton : _bChapman & Hall/CRC, _c2021.
300			_a1 online resource _billustrations (black and white)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aThe book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aBiology _xMathematical models. _913058
650		0	_aPattern formation (Biology) _911326
650		0	_aStochastic models. _913059
650		7	_aMATHEMATICS / Applied _2bisacsh _96859
650		7	_aMEDICAL / Biotechnology _2bisacsh _913060
650		7	_aSCIENCE / Life Sciences / Biology / General _2bisacsh _911238
700	1		_aIyengar, Satteluri R. K., _eauthor. _913061
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781003093954
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942			_cEBK
999			_c70356 _d70356